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Some results relating to sum and product theorems of relative $\left(p,q,t\right) L$-th order and relative $\left( p,q,t\right) L$-th type of entire functions

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Orders and types of entire functions have been actively investigated by many authors. In this paper, we investigate some basic properties in connection with sum and product of relative $\left( p,q,t\right) L${-th order, relative }$\left( p,q,t\right) L${-th type, and relative }$ \left( p,q,t\right) L${-th weak type of entire functions with respect to another entire function where }$p,q\in \mathbb{N} ${ \ and }$t\in \mathbb{N} \cup \left\{ -1,0\right\} $.

Abstract

Orders and types of entire functions have been actively investigated by many authors. In this paper, we investigate some basic properties in connection with sum and product of relative $\left( p,q,t\right) L${-th order, relative }$\left( p,q,t\right) L${-th type, and relative }$ \left( p,q,t\right) L${-th weak type of entire functions with respect to another entire function where }$p,q\in \mathbb{N} ${ \ and }$t\in \mathbb{N} \cup \left\{ -1,0\right\} $.

참고문헌 (12)

  1. L. Bernal, "Crecimiento relativo de funciones enteras. Contribuci on al estudio de lasfunciones enteras con indice exponencial finito", pp.1984
  2. L. Bernal, "Orden relative de crecimiento de funciones enteras", Collect. Math., 39, pp.209~229 (1988)
  3. S. K. Datta, "Growth of entire functions from the view point of relative L*-order", J. Adv. Res. Appl. Math., 7(1), pp.74~93 (2015)[DOI]
  4. S. K. Datta, "On sum and product theorems related to relative L*-type and relative L*-weak type of entire functions", J. Class. Anal., 8(1), pp.1~30 (2016)[DOI]
  5. W.K. Hayman, "Meromorphic Functions" (1964), The Clarendon Press
  6. O. P. Juneja, "On the (p; q) -order and lower (p; q)-order of an entire function", J. Reine Angew. Math., 282, pp.53~67 (1976)
  7. O. P. Juneja, "On the (p; q)-type and lower (p; q)-type of an entire function", J. Reine Angew. Math., 290, pp.180~190 (1977)
  8. L. M. Sanchez Ruiz, "On the (p; q)-th relative order oriented growth properties of entire functions", Abstr. Appl. Anal. (2014)[DOI]
  9. D. Sato, "On the rate of growth of entire functions of fast growth", Bull. Amer. Math. Soc., 69, pp.411~414 (1963)[DOI]
  10. D. Somasundaram, "A note on the entire functions of L-bounded index and L-type", Indian J. Pure Appl.Math., 19(3), pp.284~293 (1988)
  11. E. C. Titchmarsh, "The theory of functions" (1968), Oxford University Press
  12. G. Valiron, "Lectures on the general theory of integral functions" (1949), Chelsea Publishing Company

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